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<a href="dense_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno">    1</span><span class="comment">/*!</span></div>
<div class="line"><a id="l00002" name="l00002"></a><span class="lineno">    2</span><span class="comment"> * \brief       Implements the Dense storage vector and matrices</span></div>
<div class="line"><a id="l00003" name="l00003"></a><span class="lineno">    3</span><span class="comment"> * </span></div>
<div class="line"><a id="l00004" name="l00004"></a><span class="lineno">    4</span><span class="comment"> * \author      O. Krause</span></div>
<div class="line"><a id="l00005" name="l00005"></a><span class="lineno">    5</span><span class="comment"> * \date        2014</span></div>
<div class="line"><a id="l00006" name="l00006"></a><span class="lineno">    6</span><span class="comment"> *</span></div>
<div class="line"><a id="l00007" name="l00007"></a><span class="lineno">    7</span><span class="comment"> *</span></div>
<div class="line"><a id="l00008" name="l00008"></a><span class="lineno">    8</span><span class="comment"> * \par Copyright 1995-2015 Shark Development Team</span></div>
<div class="line"><a id="l00009" name="l00009"></a><span class="lineno">    9</span><span class="comment"> * </span></div>
<div class="line"><a id="l00010" name="l00010"></a><span class="lineno">   10</span><span class="comment"> * &lt;BR&gt;&lt;HR&gt;</span></div>
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno">   11</span><span class="comment"> * This file is part of Shark.</span></div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno">   12</span><span class="comment"> * &lt;http://image.diku.dk/shark/&gt;</span></div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno">   13</span><span class="comment"> * </span></div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno">   14</span><span class="comment"> * Shark is free software: you can redistribute it and/or modify</span></div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno">   15</span><span class="comment"> * it under the terms of the GNU Lesser General Public License as published </span></div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno">   16</span><span class="comment"> * by the Free Software Foundation, either version 3 of the License, or</span></div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno">   17</span><span class="comment"> * (at your option) any later version.</span></div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno">   18</span><span class="comment"> * </span></div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno">   19</span><span class="comment"> * Shark is distributed in the hope that it will be useful,</span></div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno">   20</span><span class="comment"> * but WITHOUT ANY WARRANTY; without even the implied warranty of</span></div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno">   21</span><span class="comment"> * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the</span></div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno">   22</span><span class="comment"> * GNU Lesser General Public License for more details.</span></div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno">   23</span><span class="comment"> * </span></div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno">   24</span><span class="comment"> * You should have received a copy of the GNU Lesser General Public License</span></div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno">   25</span><span class="comment"> * along with Shark.  If not, see &lt;http://www.gnu.org/licenses/&gt;.</span></div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno">   26</span><span class="comment"> *</span></div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno">   27</span><span class="comment"> */</span></div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno">   28</span><span class="preprocessor">#ifndef REMORA_DENSE_HPP</span></div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno">   29</span><span class="preprocessor">#define REMORA_DENSE_HPP</span></div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno">   30</span> </div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno">   31</span><span class="preprocessor">#include &quot;<a class="code" href="expression__types_8hpp.html">expression_types.hpp</a>&quot;</span></div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno">   32</span><span class="preprocessor">#include &quot;detail/traits.hpp&quot;</span></div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno">   33</span><span class="preprocessor">#include &quot;detail/proxy_optimizers_fwd.hpp&quot;</span></div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno">   34</span><span class="keyword">namespace </span>remora{</div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno">   35</span>    <span class="comment"></span></div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno">   36</span><span class="comment">/// \brief A dense vector of values of type \c T.</span></div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno">   37</span><span class="comment">///</span></div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno">   38</span><span class="comment">/// For a \f$n\f$-dimensional vector \f$v\f$ and \f$0\leq i &lt; n\f$ every element \f$v_i\f$ is mapped</span></div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno">   39</span><span class="comment">/// to the \f$i\f$-th element of the container.</span></div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno">   40</span><span class="comment">/// The tag descripes whether the vector is residing on a cpu or gpu which change its semantics.</span></div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno">   41</span><span class="comment">///</span></div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno">   42</span><span class="comment">/// \tparam T the type of object stored in the matrix (like double, float, complex, etc...)</span></div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno">   43</span><span class="comment">/// \tparam Device the device this vector lives on, the default is cpu_tag for a cpu vector</span></div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno">   44</span><span class="comment"></span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T, <span class="keyword">class</span> Device = cpu_tag&gt;</div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno">   45</span><span class="keyword">class </span>vector;</div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno">   46</span> </div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno">   47</span><span class="comment"></span> </div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno">   48</span><span class="comment">/// \brief A dense matrix of values of type \c T.</span></div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno">   49</span><span class="comment">///</span></div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno">   50</span><span class="comment">/// For a \f$(m \times n)\f$-dimensional matrix and \f$ 0 \leq i &lt; m, 0 \leq j &lt; n\f$, every element \f$ m_{i,j} \f$ is mapped to</span></div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno">   51</span><span class="comment">/// the \f$(i*n + j)\f$-th element of the container for row major orientation or the \f$ (i + j*m) \f$-th element of</span></div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno">   52</span><span class="comment">/// the container for column major orientation. In a dense matrix all elements are represented in memory in a</span></div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno">   53</span><span class="comment">/// contiguous chunk of memory by definition.</span></div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno">   54</span><span class="comment">///</span></div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno">   55</span><span class="comment">/// Orientation can also be specified, otherwise a \c row_major is used.</span></div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno">   56</span><span class="comment">///</span></div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno">   57</span><span class="comment">/// \tparam T the type of object stored in the matrix (like double, float, complex, etc...)</span></div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno">   58</span><span class="comment">/// \tparam Orientation the storage organization. It can be either \c row_major or \c column_major. Default is \c row_major</span></div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno">   59</span><span class="comment">/// \tparam Device the device this matrix lives on, the default is cpu_tag for a cpu matrix</span></div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno">   60</span><span class="comment"></span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T, <span class="keyword">class</span> Orientation=row_major, <span class="keyword">class</span> Device = cpu_tag&gt;</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno">   61</span><span class="keyword">class </span>matrix;</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno">   62</span> </div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno">   63</span><span class="comment"></span> </div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno">   64</span><span class="comment">/// \brief A proxy to a  dense vector of values of type \c T.</span></div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno">   65</span><span class="comment">///</span></div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno">   66</span><span class="comment">/// Using external memory providing by another vector, references a part of the vector.</span></div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno">   67</span><span class="comment">/// The referenced region is not required to be consecutive, i.e. elements can have a stride larger than one</span></div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno">   68</span><span class="comment">///</span></div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno">   69</span><span class="comment">/// \tparam T the type of object stored in the matrix (like double, float, complex, etc...)</span></div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno">   70</span><span class="comment">/// \tparam Tag the storage tag. dense_tag by default and continuous_dense_tag if stride is guarantueed to be 1.</span></div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno">   71</span><span class="comment">/// \tparam Device the device this vector lives on, the default is cpu_tag for a cpu vector</span></div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno">   72</span><span class="comment"></span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T, <span class="keyword">class</span> Tag = dense_tag, <span class="keyword">class</span> Device = cpu_tag&gt;</div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno">   73</span><span class="keyword">class </span>dense_vector_adaptor;</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno">   74</span><span class="comment"></span> </div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno">   75</span><span class="comment">/// \brief A proxy to a  dense matrix of values of type \c T.</span></div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno">   76</span><span class="comment">///</span></div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno">   77</span><span class="comment">/// Using external memory providing by another matrix, references a subrange of the matrix</span></div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno">   78</span><span class="comment">/// The referenced region is not required to be consecutive, i.e. a subregion of a matrix can be used</span></div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno">   79</span><span class="comment">/// However, either the row or column indices must be consecutive</span></div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno">   80</span><span class="comment">///</span></div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno">   81</span><span class="comment">/// \tparam T the type of object stored in the matrix (like double, float, complex, etc...)</span></div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno">   82</span><span class="comment">/// \tparam Orientation the storage organization. It can be either \c row_major or \c column_major. Default is \c row_major</span></div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno">   83</span><span class="comment">/// \tparam Tag the storage tag. dense_tag by default and continuous_dense_tag if the memory region referenced is continuous.</span></div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno">   84</span><span class="comment">/// \tparam Device the device this vector lives on, the default is cpu_tag for a cpu vector</span></div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno">   85</span><span class="comment"></span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T,<span class="keyword">class</span> Orientation = row_major, <span class="keyword">class</span> Tag = dense_tag, <span class="keyword">class</span> Device = cpu_tag&gt;</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno">   86</span><span class="keyword">class </span>dense_matrix_adaptor;</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno">   87</span> </div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno">   88</span> </div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno">   89</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T, <span class="keyword">class</span> Orientation, <span class="keyword">class</span> TriangularType, <span class="keyword">class</span> Device&gt;</div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno">   90</span><span class="keyword">class </span>dense_triangular_proxy;</div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno">   91</span><span class="comment"></span> </div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno">   92</span><span class="comment">///////////////////////////////////</span></div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno">   93</span><span class="comment"></span><span class="comment">// Adapt memory as vector</span><span class="comment"></span></div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno">   94</span><span class="comment">///////////////////////////////////</span></div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno">   95</span><span class="comment"></span><span class="comment"></span> </div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno">   96</span><span class="comment">/// \brief Converts a chunk of memory into a vector of a given size.</span></div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno">   97</span><span class="comment"></span><span class="keyword">template</span> &lt;<span class="keyword">class</span> T&gt;</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno">   98</span>dense_vector_adaptor&lt;T, continuous_dense_tag, cpu_tag&gt; adapt_vector(std::size_t size, T * v, std::size_t stride = 1){</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno">   99</span>    <span class="keywordflow">return</span> dense_vector_adaptor&lt;T, continuous_dense_tag, cpu_tag&gt;(v,size, stride);</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno">  100</span>}</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno">  101</span><span class="comment"></span> </div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno">  102</span><span class="comment">/// \brief Converts a C-style array into a vector.</span></div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno">  103</span><span class="comment"></span><span class="keyword">template</span> &lt;<span class="keyword">class</span> T, std::<span class="keywordtype">size_t</span> N&gt;</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno">  104</span>dense_vector_adaptor&lt;T, continuous_dense_tag, cpu_tag&gt; adapt_vector(T (&amp;array)[N]){</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno">  105</span>    <span class="keywordflow">return</span> dense_vector_adaptor&lt;T, continuous_dense_tag, cpu_tag&gt;(array,N, 1);</div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno">  106</span>}</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno">  107</span><span class="comment"></span> </div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno">  108</span><span class="comment">/// \brief Converts a chunk of memory into a matrix of given size.</span></div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno">  109</span><span class="comment"></span><span class="keyword">template</span> &lt;<span class="keyword">class</span> T&gt;</div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno">  110</span>dense_matrix_adaptor&lt;T, row_major, continuous_dense_tag, cpu_tag&gt; adapt_matrix(std::size_t size1, std::size_t size2, T* data){</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno">  111</span>    <span class="keywordflow">return</span> dense_matrix_adaptor&lt;T, row_major, continuous_dense_tag, cpu_tag&gt;(data,size1, size2);</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno">  112</span>}</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno">  113</span><span class="comment"></span> </div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno">  114</span><span class="comment">/// \brief Converts a 2D C-style array into a matrix of given size.</span></div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno">  115</span><span class="comment"></span><span class="keyword">template</span> &lt;<span class="keyword">class</span> T, std::<span class="keywordtype">size_t</span> M, std::<span class="keywordtype">size_t</span> N&gt;</div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno">  116</span>dense_matrix_adaptor&lt;T, row_major, continuous_dense_tag, cpu_tag&gt; adapt_matrix(T (&amp;array)[M][N]){</div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno">  117</span>    <span class="keywordflow">return</span> dense_matrix_adaptor&lt;T, row_major, continuous_dense_tag, cpu_tag&gt;(&amp;(array[0][0]),M,N);</div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno">  118</span>}</div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno">  119</span><span class="comment"></span> </div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno">  120</span><span class="comment">///////////////////////////////////</span></div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno">  121</span><span class="comment"></span><span class="comment">// Traits</span><span class="comment"></span></div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno">  122</span><span class="comment">///////////////////////////////////</span></div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno">  123</span><span class="comment"></span> </div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno">  124</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T, <span class="keyword">class</span> Device&gt;</div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno">  125</span><span class="keyword">struct </span>vector_temporary_type&lt;T,dense_tag, Device&gt;{</div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno">  126</span>    <span class="keyword">typedef</span> vector&lt;T, Device&gt; type;</div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno">  127</span>};</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno">  128</span> </div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno">  129</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T, <span class="keyword">class</span> Device&gt;</div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno">  130</span><span class="keyword">struct </span>vector_temporary_type&lt;T,continuous_dense_tag, Device&gt;{</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno">  131</span>    <span class="keyword">typedef</span> vector&lt;T, Device&gt; type;</div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno">  132</span>};</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno">  133</span> </div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno">  134</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T, <span class="keyword">class</span> L, <span class="keyword">class</span> Device&gt;</div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno">  135</span><span class="keyword">struct </span>matrix_temporary_type&lt;T,L,dense_tag, Device&gt;{</div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno">  136</span>    <span class="keyword">typedef</span> matrix&lt;T,L, Device&gt; type;</div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno">  137</span>};</div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno">  138</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T, <span class="keyword">class</span> L, <span class="keyword">class</span> Device&gt;</div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno">  139</span><span class="keyword">struct </span>matrix_temporary_type&lt;T,L,continuous_dense_tag, Device&gt;{</div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno">  140</span>    <span class="keyword">typedef</span> matrix&lt;T,L, Device&gt; type;</div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno">  141</span>};</div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno">  142</span> </div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno">  143</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T, <span class="keyword">class</span> Device&gt;</div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno">  144</span><span class="keyword">struct </span>matrix_temporary_type&lt;T,unknown_orientation,dense_tag, Device&gt;{</div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno">  145</span>    <span class="keyword">typedef</span> matrix&lt;T,row_major, Device&gt; type;</div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno">  146</span>};</div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno">  147</span> </div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno">  148</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T, <span class="keyword">class</span> Device&gt;</div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno">  149</span><span class="keyword">struct </span>matrix_temporary_type&lt;T,unknown_orientation,continuous_dense_tag, Device&gt;{</div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno">  150</span>    <span class="keyword">typedef</span> matrix&lt;T,row_major, Device&gt; type;</div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno">  151</span>};</div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno">  152</span><span class="comment"></span> </div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno">  153</span><span class="comment">//////////////////////////////////</span></div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno">  154</span><span class="comment">//////Expression Traits</span></div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno">  155</span><span class="comment">///////////////////////////////////</span></div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno">  156</span><span class="comment"></span> </div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno">  157</span><span class="keyword">namespace </span>detail{</div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno">  158</span>    </div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno">  159</span>    <span class="comment"></span></div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno">  160</span><span class="comment">///////////////////////////////////////////////////</span></div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno">  161</span><span class="comment">//////Traits For Proxy Expressions</span></div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno">  162</span><span class="comment">///////////////////////////////////////////////////</span></div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno">  163</span><span class="comment"></span> </div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno">  164</span>    <span class="comment"></span></div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno">  165</span><span class="comment">////////////////////////VECTOR RANGE//////////////////////</span></div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno">  166</span><span class="comment"></span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T, <span class="keyword">class</span> Tag, <span class="keyword">class</span> Device&gt;</div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno">  167</span><span class="keyword">struct </span>vector_range_optimizer&lt;dense_vector_adaptor&lt;T, Tag, Device&gt; &gt;{</div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno">  168</span>    <span class="keyword">typedef</span> dense_vector_adaptor&lt;T, Tag, Device&gt; type;</div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno">  169</span>    </div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno">  170</span>    <span class="keyword">static</span> type create(dense_vector_adaptor&lt;T, Tag, Device&gt; <span class="keyword">const</span>&amp; m, std::size_t start, std::size_t end){</div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno">  171</span>        <span class="keyword">auto</span> <span class="keyword">const</span>&amp; storage = m.raw_storage();</div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno">  172</span>        <span class="keywordflow">return</span> type(storage.sub_region(start), m.queue(), end - start);</div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno">  173</span>    }</div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno">  174</span>};</div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno">  175</span><span class="comment"></span> </div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno">  176</span><span class="comment">////////////////////////MATRIX TRANSPOSE//////////////////////</span></div>
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno">  177</span><span class="comment"></span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T, <span class="keyword">class</span> Orientation, <span class="keyword">class</span> Tag, <span class="keyword">class</span> Device&gt;</div>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno">  178</span><span class="keyword">struct </span>matrix_transpose_optimizer&lt;dense_matrix_adaptor&lt;T,Orientation, Tag, Device&gt; &gt;{</div>
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno">  179</span>    <span class="keyword">typedef</span> dense_matrix_adaptor&lt;T,typename Orientation::transposed_orientation, Tag, Device&gt; type;</div>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno">  180</span>    </div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno">  181</span>    <span class="keyword">static</span> type create(dense_matrix_adaptor&lt;T,Orientation, Tag, Device&gt; <span class="keyword">const</span>&amp; m){</div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno">  182</span>        <span class="keywordflow">return</span> type(m.raw_storage(), m.queue(), m.size2(), m.size1());</div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno">  183</span>    }</div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno">  184</span>};</div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno">  185</span> </div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno">  186</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T, <span class="keyword">class</span> Orientation, <span class="keyword">class</span> Triangular, <span class="keyword">class</span> Device&gt;</div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno">  187</span><span class="keyword">struct </span>matrix_transpose_optimizer&lt;dense_triangular_proxy&lt;T, Orientation, Triangular, Device&gt; &gt;{</div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno">  188</span>    <span class="keyword">typedef</span> dense_triangular_proxy&lt;T, typename Orientation::transposed_orientation, Triangular, Device&gt; type;</div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno">  189</span>    </div>
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno">  190</span>    <span class="keyword">static</span> type create(dense_triangular_proxy&lt;T, Orientation, Triangular, Device&gt; <span class="keyword">const</span>&amp; m){</div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno">  191</span>        <span class="keywordflow">return</span> type(m.raw_storage(), m.queue(), m.size2(), m.size1());</div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno">  192</span>    }</div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno">  193</span>};</div>
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno">  194</span><span class="comment"></span> </div>
<div class="line"><a id="l00195" name="l00195"></a><span class="lineno">  195</span><span class="comment">////////////////////////MATRIX ROW//////////////////////</span></div>
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno">  196</span><span class="comment"></span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T, <span class="keyword">class</span> Orientation, <span class="keyword">class</span> Tag, <span class="keyword">class</span> Device&gt;</div>
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno">  197</span><span class="keyword">struct </span>matrix_row_optimizer&lt;dense_matrix_adaptor&lt;T,Orientation, Tag, Device&gt; &gt;{</div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno">  198</span>    <span class="keyword">typedef</span> <span class="keyword">typename</span> std::conditional&lt;std::is_same&lt;Orientation, row_major&gt;::value, Tag, dense_tag&gt;::type proxy_tag;</div>
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno">  199</span>    <span class="keyword">typedef</span> dense_vector_adaptor&lt;T, proxy_tag, Device&gt; type;</div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno">  200</span>    </div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno">  201</span>    <span class="keyword">static</span> type create(dense_matrix_adaptor&lt;T,Orientation, Tag, Device&gt; <span class="keyword">const</span>&amp; m, std::size_t i){</div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno">  202</span>        <span class="keyword">auto</span> <span class="keyword">const</span>&amp; storage = m.raw_storage();</div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno">  203</span>        <span class="keywordflow">return</span> type(storage.row(i, Orientation()), m.queue(), m.size2());</div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno">  204</span>    }</div>
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno">  205</span>};</div>
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno">  206</span> </div>
<div class="line"><a id="l00207" name="l00207"></a><span class="lineno">  207</span><span class="comment"></span> </div>
<div class="line"><a id="l00208" name="l00208"></a><span class="lineno">  208</span><span class="comment">////////////////////////MATRIX RANGE//////////////////////</span></div>
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno">  209</span><span class="comment"></span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T, <span class="keyword">class</span> Orientation, <span class="keyword">class</span> Tag, <span class="keyword">class</span> Device&gt;</div>
<div class="line"><a id="l00210" name="l00210"></a><span class="lineno">  210</span><span class="keyword">struct </span>matrix_range_optimizer&lt;dense_matrix_adaptor&lt;T,Orientation, Tag, Device&gt; &gt;{</div>
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno">  211</span>    <span class="keyword">typedef</span> dense_matrix_adaptor&lt;T, Orientation, dense_tag, Device&gt; type;</div>
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno">  212</span>    </div>
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno">  213</span>    <span class="keyword">static</span> type create(dense_matrix_adaptor&lt;T,Orientation, Tag, Device&gt; <span class="keyword">const</span>&amp; m, </div>
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno">  214</span>        std::size_t start1, std::size_t end1,</div>
<div class="line"><a id="l00215" name="l00215"></a><span class="lineno">  215</span>        std::size_t start2, std::size_t end2</div>
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno">  216</span>    ){</div>
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno">  217</span>        <span class="keyword">auto</span> <span class="keyword">const</span>&amp; storage = m.raw_storage();</div>
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno">  218</span>        <span class="keywordflow">return</span> type(storage.sub_region(start1, start2, Orientation()), m.queue(), end1-start1, end2-start2);</div>
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno">  219</span>    }</div>
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno">  220</span>};<span class="comment"></span></div>
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno">  221</span><span class="comment">////////////////////////MATRIX ROWS//////////////////////</span></div>
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno">  222</span><span class="comment"></span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T, <span class="keyword">class</span> Orientation, <span class="keyword">class</span> Tag, <span class="keyword">class</span> Device&gt;</div>
<div class="line"><a id="l00223" name="l00223"></a><span class="lineno">  223</span><span class="keyword">struct </span>matrix_rows_optimizer&lt;dense_matrix_adaptor&lt;T,Orientation, Tag, Device&gt; &gt;{</div>
<div class="line"><a id="l00224" name="l00224"></a><span class="lineno">  224</span>    <span class="keyword">typedef</span> <span class="keyword">typename</span> std::conditional&lt;</div>
<div class="line"><a id="l00225" name="l00225"></a><span class="lineno">  225</span>        std::is_same&lt;Orientation, row_major&gt;::value,</div>
<div class="line"><a id="l00226" name="l00226"></a><span class="lineno">  226</span>        Tag,</div>
<div class="line"><a id="l00227" name="l00227"></a><span class="lineno">  227</span>        dense_tag</div>
<div class="line"><a id="l00228" name="l00228"></a><span class="lineno">  228</span>    &gt;::type proxy_tag;</div>
<div class="line"><a id="l00229" name="l00229"></a><span class="lineno">  229</span>    <span class="keyword">typedef</span> dense_matrix_adaptor&lt;T, Orientation, proxy_tag, Device&gt; type;</div>
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno">  230</span>    </div>
<div class="line"><a id="l00231" name="l00231"></a><span class="lineno">  231</span>    <span class="keyword">static</span> type create(dense_matrix_adaptor&lt;T,Orientation, Tag, Device&gt; <span class="keyword">const</span>&amp; m, </div>
<div class="line"><a id="l00232" name="l00232"></a><span class="lineno">  232</span>        std::size_t start, std::size_t end</div>
<div class="line"><a id="l00233" name="l00233"></a><span class="lineno">  233</span>    ){</div>
<div class="line"><a id="l00234" name="l00234"></a><span class="lineno">  234</span>        <span class="keyword">auto</span> <span class="keyword">const</span>&amp; storage = m.raw_storage();</div>
<div class="line"><a id="l00235" name="l00235"></a><span class="lineno">  235</span>        <span class="keywordflow">return</span> type(storage.sub_rows(start, Orientation()), m.queue(), end - start, m.size2());</div>
<div class="line"><a id="l00236" name="l00236"></a><span class="lineno">  236</span>    }</div>
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno">  237</span>};</div>
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno">  238</span><span class="comment"></span> </div>
<div class="line"><a id="l00239" name="l00239"></a><span class="lineno">  239</span><span class="comment">////////////////////////MATRIX DIAGONAL//////////////////////</span></div>
<div class="line"><a id="l00240" name="l00240"></a><span class="lineno">  240</span><span class="comment"></span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T, <span class="keyword">class</span> Orientation, <span class="keyword">class</span> Tag, <span class="keyword">class</span> Device&gt;</div>
<div class="line"><a id="l00241" name="l00241"></a><span class="lineno">  241</span><span class="keyword">struct </span>matrix_diagonal_optimizer&lt;dense_matrix_adaptor&lt;T,Orientation, Tag, Device&gt; &gt;{</div>
<div class="line"><a id="l00242" name="l00242"></a><span class="lineno">  242</span>    <span class="keyword">typedef</span> dense_vector_adaptor&lt;T, dense_tag, Device&gt; type;</div>
<div class="line"><a id="l00243" name="l00243"></a><span class="lineno">  243</span>    </div>
<div class="line"><a id="l00244" name="l00244"></a><span class="lineno">  244</span>    <span class="keyword">static</span> type create(dense_matrix_adaptor&lt;T,Orientation, Tag, Device&gt; <span class="keyword">const</span>&amp; m){</div>
<div class="line"><a id="l00245" name="l00245"></a><span class="lineno">  245</span>        <span class="keywordflow">return</span> type(m.raw_storage().diag(), m.queue(), std::min(m.size1(), m.size2()));</div>
<div class="line"><a id="l00246" name="l00246"></a><span class="lineno">  246</span>    }</div>
<div class="line"><a id="l00247" name="l00247"></a><span class="lineno">  247</span>};</div>
<div class="line"><a id="l00248" name="l00248"></a><span class="lineno">  248</span><span class="comment"></span> </div>
<div class="line"><a id="l00249" name="l00249"></a><span class="lineno">  249</span><span class="comment">////////////////////////LINEARIZED MATRIX//////////////////////</span></div>
<div class="line"><a id="l00250" name="l00250"></a><span class="lineno">  250</span><span class="comment"></span> </div>
<div class="line"><a id="l00251" name="l00251"></a><span class="lineno">  251</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T, <span class="keyword">class</span> Orientation, <span class="keyword">class</span> Device&gt;</div>
<div class="line"><a id="l00252" name="l00252"></a><span class="lineno">  252</span><span class="keyword">struct </span>linearized_matrix_optimizer&lt;dense_matrix_adaptor&lt;T,Orientation, continuous_dense_tag, Device&gt; &gt;{</div>
<div class="line"><a id="l00253" name="l00253"></a><span class="lineno">  253</span>    <span class="keyword">typedef</span> dense_vector_adaptor&lt;T, continuous_dense_tag, Device&gt; type;</div>
<div class="line"><a id="l00254" name="l00254"></a><span class="lineno">  254</span>    </div>
<div class="line"><a id="l00255" name="l00255"></a><span class="lineno">  255</span>    <span class="keyword">static</span> type create(dense_matrix_adaptor&lt;T,Orientation, continuous_dense_tag, Device&gt; <span class="keyword">const</span>&amp; m){</div>
<div class="line"><a id="l00256" name="l00256"></a><span class="lineno">  256</span>        <span class="keywordflow">return</span> type(m.raw_storage().linear(), m.queue(), m.size1() * m.size2());</div>
<div class="line"><a id="l00257" name="l00257"></a><span class="lineno">  257</span>    }</div>
<div class="line"><a id="l00258" name="l00258"></a><span class="lineno">  258</span>};</div>
<div class="line"><a id="l00259" name="l00259"></a><span class="lineno">  259</span> </div>
<div class="line"><a id="l00260" name="l00260"></a><span class="lineno">  260</span><span class="comment"></span> </div>
<div class="line"><a id="l00261" name="l00261"></a><span class="lineno">  261</span><span class="comment">////////////////////////TO TRIANGULAR//////////////////////</span></div>
<div class="line"><a id="l00262" name="l00262"></a><span class="lineno">  262</span><span class="comment"></span> </div>
<div class="line"><a id="l00263" name="l00263"></a><span class="lineno">  263</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T, <span class="keyword">class</span> Orientation, <span class="keyword">class</span> Tag, <span class="keyword">class</span> Device, <span class="keyword">class</span> Triangular&gt;</div>
<div class="line"><a id="l00264" name="l00264"></a><span class="lineno">  264</span><span class="keyword">struct </span>triangular_proxy_optimizer&lt;dense_matrix_adaptor&lt;T,Orientation, Tag, Device&gt;, Triangular &gt;{</div>
<div class="line"><a id="l00265" name="l00265"></a><span class="lineno">  265</span>    <span class="keyword">typedef</span> dense_triangular_proxy&lt;T, Orientation, Triangular, Device&gt; type;</div>
<div class="line"><a id="l00266" name="l00266"></a><span class="lineno">  266</span>    </div>
<div class="line"><a id="l00267" name="l00267"></a><span class="lineno">  267</span>    <span class="keyword">static</span> type create(dense_matrix_adaptor&lt;T,Orientation, Tag, Device&gt; <span class="keyword">const</span>&amp; m){</div>
<div class="line"><a id="l00268" name="l00268"></a><span class="lineno">  268</span>        <span class="keywordflow">return</span> type(m.raw_storage(), m.queue(), m.size1(), m.size2());</div>
<div class="line"><a id="l00269" name="l00269"></a><span class="lineno">  269</span>    }</div>
<div class="line"><a id="l00270" name="l00270"></a><span class="lineno">  270</span>};</div>
<div class="line"><a id="l00271" name="l00271"></a><span class="lineno">  271</span> </div>
<div class="line"><a id="l00272" name="l00272"></a><span class="lineno">  272</span> </div>
<div class="line"><a id="l00273" name="l00273"></a><span class="lineno">  273</span>}</div>
<div class="line"><a id="l00274" name="l00274"></a><span class="lineno">  274</span> </div>
<div class="line"><a id="l00275" name="l00275"></a><span class="lineno">  275</span>}</div>
<div class="line"><a id="l00276" name="l00276"></a><span class="lineno">  276</span> </div>
<div class="line"><a id="l00277" name="l00277"></a><span class="lineno">  277</span><span class="comment">//include device dependent implementations</span></div>
<div class="line"><a id="l00278" name="l00278"></a><span class="lineno">  278</span><span class="preprocessor">#include &quot;<a class="code" href="cpu_2dense_8hpp.html">cpu/dense.hpp</a>&quot;</span></div>
<div class="line"><a id="l00279" name="l00279"></a><span class="lineno">  279</span><span class="preprocessor">#ifdef REMORA_USE_GPU</span></div>
<div class="line"><a id="l00280" name="l00280"></a><span class="lineno">  280</span><span class="preprocessor">#include &quot;<a class="code" href="gpu_2dense_8hpp.html">gpu/dense.hpp</a>&quot;</span></div>
<div class="line"><a id="l00281" name="l00281"></a><span class="lineno">  281</span><span class="preprocessor">#endif</span></div>
<div class="line"><a id="l00282" name="l00282"></a><span class="lineno">  282</span> </div>
<div class="line"><a id="l00283" name="l00283"></a><span class="lineno">  283</span><span class="preprocessor">#endif</span></div>
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